Do not get involved in a bar bet with Brad Efron and his dice until you have read this.... read more >>

# Brad Efron’s Nontransitive Dice

Posted by **Cleve Moler**,

Blogs

Posted by **Cleve Moler**,

Do not get involved in a bar bet with Brad Efron and his dice until you have read this.... read more >>

Posted by **Cleve Moler**,

I have been writing books, programs, newsletter columns and blogs since 1990. I have now collected all of this material into one repository. Cleve's Corner Collection consists of 458 "documents", all available on the internet. There are... read more >>

Posted by **Cleve Moler**,

How can you measure the distance between two words? How can you find the closest match to a word in a list of words? The Levenshtein distance between two strings is the number of single character deletions, insertions, or substitutions required to transform one string into the other. This is also known as the *edit distance*.... read more >>

Posted by **Cleve Moler**,

The Householder meetings on Numerical Linear Algebra have been held roughly every three years since 1961. The twentieth, with the logo **HHXX**, was held June 18th through 23rd at Virginia Tech in Blacksburg, Virginia. I've been to 17 of the meetings. They have been an important part of my professional life and I've written Cleve's Corner articles and blog posts about them, MathWorks News & Notes, and Householder XIX.... read more >>

Posted by **Cleve Moler**,

I first encountered the Hilbert matrix when I was doing individual studies under Professor John Todd at Caltech in 1960. It has been part of my professional life ever since.... read more >>

**Category:**- History,
- Matrices,
- Precision,
- Symbolic

Posted by **Cleve Moler**,

The floating point arithmetic format that occupies 128 bits of storage is known as *binary128* or *quadruple precision*. This blog post describes an implementation of quadruple precision programmed entirely in the MATLAB language.... read more >>

Posted by **Cleve Moler**,

A MATLAB object for arithmetic with Roman numerals provides an example of object oriented programming. I had originally intended this as my April Fools post, but I got fascinated and decided to make it the subject of a legitimate article.... read more >>

Posted by **Cleve Moler**,

I've long known that my Erdös Number is 3. This means that the length of the path on the graph of academic coauthorship between me and mathematician Paul Erdös is 3. Somewhat to my surprise, I recently discovered that I can also trace a chain of coauthorship to Donald J. Trump. My Trump number is 5.... read more >>

Posted by **Cleve Moler**,

A binary tree is an elegant way to represent and process Morse code. The new MATLAB graph object provides an elegant way to manipulate binary trees. A new app, `morse_tree`, based on this approach, is now available in version 2.40 of Cleve's Laboratory.... read more >>

**Category:**- Algorithms,
- Fun,
- Graphics,
- History

Posted by **Cleve Moler**,

The adjacency matrix of a hypercube demonstrates the new MATLAB graph object.... read more >>

**Category:**- Eigenvalues,
- Fun,
- Graphics,
- History,
- Matrices

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